Higher level vertex operators for $$U_q \left( \widehat{\mathfrak {sl}}_2\right) $$Uqsl^2

@article{Koi2017HigherLV,
  title={Higher level vertex operators for \$\$U_q \left( \widehat\{\mathfrak \{sl\}\}_2\right) \$\$Uqsl^2},
  author={S. Ko{\vz}i{\'c}},
  journal={Selecta Mathematica},
  year={2017},
  volume={23},
  pages={2397-2436}
}
  • S. Kožić
  • Published 2017
  • Mathematics, Physics
  • Selecta Mathematica
We study graded nonlocal $$\underline{\mathsf {q}}$$q̲-vertex algebras and we prove that they can be generated by certain sets of vertex operators. As an application, we consider the family of graded nonlocal $$\underline{\mathsf {q}}$$q̲-vertex algebras $$V_{c,1}$$Vc,1, $$c\ge 1$$c≥1, associated with the principal subspaces $$W(c\Lambda _0)$$W(cΛ0) of the integrable highest weight $$U_q (\widehat{\mathfrak {sl}}_2)$$Uq(sl^2)-modules $$L(c\Lambda _0)$$L(cΛ0). Using quantum integrability, we… Expand
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